Paper Citation Record · LEDGER

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup

As of 11 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 1 inbound Pith citation observation for arXiv:2412.19090.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2412.19090 v2

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T01:06:59.299350Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:12:34.098363Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T12:12:34.401975Z

Reference resolution

55 of 55 outbound references displayed

verified exact0
verified fuzzy48
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 962650e1-dc65-4382-86b3-29aca18debf0 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.799910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cdced2ea-e7aa-40c2-9b81-8de8222d3c2e · outbound

This paper cites Matrix QR Decomposition Let A ∈ CN ×M be an arbitrary matrix with full rank satisfying N ≥ M.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Matrix QR Decomposition Let A ∈ CN ×M be an arbitrary matrix with full rank satisfying N ≥ M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.790979Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a937b424-a319-4b7e-983c-32baffd0f257 · outbound

This paper cites Problem 2 can be regarded as a generalization of Problem 1.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Problem 2 can be regarded as a generalization of Problem 1

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.782223Z

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Observation d055d27a-85d0-4690-bcf3-0533be08cd3e · outbound

This paper cites Then there exists a quantum algorithm for calculating the QR decomposition of matrix A.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Then there exists a quantum algorithm for calculating the QR decomposition of matrix A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.772738Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 351daf56-518b-4408-aa0f-2178b2ba7e67 · outbound

This paper cites ∥ A ⊗ B ∥2 2 = q λmax (A ⊗ B)† (A ⊗ B) 2 = λmax (A ⊗ B)† (A ⊗ B) = λmax A†A ⊗ B†B = λmax A†A · λmax A†A =∥ A ∥2 2 · ∥B ∥2 2 (B1) Therefore ∥ A ⊗ B ∥2=∥ A ∥2 · ∥B ∥2.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup ∥ A ⊗ B ∥2 2 = q λmax (A ⊗ B)† (A ⊗ B) 2 = λmax (A ⊗ B)† (A ⊗ B) = λmax A†A ⊗ B†B = λmax A†A · λmax A†A =∥ A ∥2 2 · ∥B ∥2 2 (B1) Therefore ∥ A ⊗ B ∥2=∥ A ∥2 · ∥B ∥2

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.764136Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 83bea7ea-ee7b-4350-b166-4851f15249d3 · outbound

This paper cites Suppose the qubit number of the first register is.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Suppose the qubit number of the first register is

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.752826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1090d1bb-d720-4a25-b0e3-85800c74aa62 · outbound

This paper cites Define ∆ U = ( C − U ) − (C − exp(−iHt)).

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Define ∆ U = ( C − U ) − (C − exp(−iHt))

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.742582Z

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Observation 9968d091-82e9-492a-8b91-3fef6093409d · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.732739Z

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Observation 5af3a240-0688-44e3-99a3-eeac382da1b2 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.721897Z

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Observation c35d2b3a-5bd6-47f2-9318-da107fb6f506 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.712326Z

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Observation 3c674da0-1d48-47c4-969d-e7b0aad03931 · outbound

This paper cites 169 (Springer Science & Business Media, 2013).

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup 169 (Springer Science & Business Media, 2013)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.701371Z

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Observation 0897297a-0c88-4b25-929d-8cb4fdf04279 · outbound

This paper cites Linear least squares solutions by householder transformations,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Linear least squares solutions by householder transformations,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.692206Z

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Observation bd958cbf-bc01-496a-b7fa-2e04f9798197 · outbound

This paper cites Gram-Schmidt orthogonalization: 100 years and more,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Gram-Schmidt orthogonalization: 100 years and more,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.682760Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6e466660-d186-4746-966a-4229ddb28fcc · outbound

This paper cites The QR algorithm,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup The QR algorithm,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.673072Z

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Observation 536d1063-c93e-4f00-b080-22934c06fa4d · outbound

This paper cites Real-time face recognition using Gram-Schmidt orthogonalization for LDA,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Real-time face recognition using Gram-Schmidt orthogonalization for LDA,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.664054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cc8185e4-9473-4df7-9994-d887110a1b7c · outbound

This paper cites Unsupervised feature selection through Gram–Schmidt orthogonalization—A word co- occurrence perspective,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unsupervised feature selection through Gram–Schmidt orthogonalization—A word co- occurrence perspective,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.654470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 222696d5-95ab-4b3f-9a8c-49d48687fb6d · outbound

This paper cites A modified learning algorithm for the multilayer neural network with multi-valued neurons based on the complex QR decomposition,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup A modified learning algorithm for the multilayer neural network with multi-valued neurons based on the complex QR decomposition,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.643772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7814af2a-812d-4ab9-826e-04f3165f025d · outbound

This paper cites Equal-diagonal QR decomposition and its application to precoder design for successive-cancellation detection,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Equal-diagonal QR decomposition and its application to precoder design for successive-cancellation detection,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.634177Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6e736a09-1007-4d24-9c28-d3c4d1675cac · outbound

This paper cites Fast dual- domain reduced-rank algorithm for 3D deblending via randomized QR decomposition,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Fast dual- domain reduced-rank algorithm for 3D deblending via randomized QR decomposition,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.623945Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2a6daff0-6a05-4ba6-845e-43008dc84d49 · outbound

This paper cites On the use of the upper triangular (or QR) decomposition for developing constitutive equations for green-elastic materials,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup On the use of the upper triangular (or QR) decomposition for developing constitutive equations for green-elastic materials,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.614874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 41a890dd-7ed1-4f9f-8114-78e42007b9e3 · outbound

This paper cites Computation using the QR decompo- sition,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Computation using the QR decompo- sition,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.605887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d0ac9282-fb9e-41fa-8617-c3688f071410 · outbound

This paper cites The loss of orthogonality in the Gram-Schmidt orthogonalization process,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup The loss of orthogonality in the Gram-Schmidt orthogonalization process,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.596923Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1cb516a3-32c3-413c-84ff-02f1d41ac3e4 · outbound

This paper cites Rounding error analysis of the classical Gram-Schmidt orthogonalization process,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Rounding error analysis of the classical Gram-Schmidt orthogonalization process,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.588171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ea387b69-c098-49ca-bfad-7b645b31ce51 · outbound

This paper cites Error analysis of QR decompo- sitions by Givens transformations,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Error analysis of QR decompo- sitions by Givens transformations,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.579790Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1623f368-0bb4-454f-bfd9-03bebddac6c2 · outbound

This paper cites Quantum mechanical computers,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum mechanical computers,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.570891Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b6d0207a-af26-4671-8332-34b31bb61093 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.562848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 58aecdaa-e5fc-4053-a03d-201b5fd45794 · outbound

This paper cites Quantum computing in the NISQ era and beyond,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum computing in the NISQ era and beyond,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.555323Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 436d3208-6352-4c74-b17d-f84716e57fe3 · outbound

This paper cites Hello quantum world! Google publishes landmark quantum supremacy claim,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Hello quantum world! Google publishes landmark quantum supremacy claim,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.548655Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 32dd3933-49aa-4278-8131-cb49b0977f27 · outbound

This paper cites Quantum computational advantage using photons,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum computational advantage using photons,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.539528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8c7c2002-3eca-4710-a953-bac6385a23b9 · outbound

This paper cites Realization of a scalable shor algorithm,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Realization of a scalable shor algorithm,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.530336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d1b3a38c-4ffb-4479-a0ac-04f41e8f2869 · outbound

This paper cites Algorithms for quantum computation: discrete logarithms and factoring,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Algorithms for quantum computation: discrete logarithms and factoring,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.521730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c36a26e-1b79-46f1-9b59-c8cd597b09e3 · outbound

This paper cites an unresolved cited work.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T01:06:59.511082Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5cb0bc7c-41ce-41de-90f2-d8c0ad677f18 · outbound

This paper cites Quantum algorithm for linear systems of equations,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum algorithm for linear systems of equations,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.502952Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6bac19ef-9fd8-4151-b2ec-72420c78e993 · outbound

This paper cites Quantum algorithm for systems of linear equations with exponentially improved dependence on precision,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum algorithm for systems of linear equations with exponentially improved dependence on precision,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.496459Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 47840125-01ae-462e-a2a4-075378bc36f9 · outbound

This paper cites Quantum support vector machine for big data classification,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum support vector machine for big data classification,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.489746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 72c17904-5749-4aaa-84c5-5e57fb717376 · outbound

This paper cites Quantum principal component analysis,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum principal component analysis,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.482072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 366d95ab-261a-4352-b5c6-d0752e0dd22e · outbound

This paper cites Quantum inference on Bayesian networks,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum inference on Bayesian networks,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.474241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0bb771af-a473-46ed-82fe-db9d9f241e50 · outbound

This paper cites Quantum boltzmann machine,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum boltzmann machine,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.466203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 608c7f24-ea77-447a-84d5-7592959cb40a · outbound

This paper cites Quantum Gram-Schmidt processes and their application to efficient state readout for quantum algorithms,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum Gram-Schmidt processes and their application to efficient state readout for quantum algorithms,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.458434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b105e69-cfa3-4c16-b39d-6409b5ec2e01 · outbound

This paper cites Quantum random access memory,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum random access memory,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.449844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ccfdfcaf-8fd7-4a95-b916-b1b978df93ca · outbound

This paper cites Quantum QR decomposition in the computational basis,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum QR decomposition in the computational basis,

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.440487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ca4d568-ad1b-4d0e-ba6d-635c61495325 · outbound

This paper cites Architectures for a quantum random access memory,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Architectures for a quantum random access memory,

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.431708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 04c18deb-7bf1-4350-8586-9a4674e91e43 · outbound

This paper cites Hamiltonian simulation by qubitization,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Hamiltonian simulation by qubitization,

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.423582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 69d7a000-402c-4001-9eea-e6839953934d · outbound

This paper cites Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer,

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.414809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a951a51-7856-48ef-bf6d-1e9ecec91bfe · outbound

This paper cites An improved quantum Fourier transform algorithm and applications,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup An improved quantum Fourier transform algorithm and applications,

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.405530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 789e119b-358f-46c7-b9d0-7a28e04102ca · outbound

This paper cites Quantum algorithms for quantum dynamics,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum algorithms for quantum dynamics,

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.395096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 426e32bd-2fac-454f-bde1-c93a969983e3 · outbound

This paper cites Compiling basic linear algebra subroutines for quantum computers,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Compiling basic linear algebra subroutines for quantum computers,

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.387346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 021bb64f-653d-42f7-8030-5e2906b38707 · outbound

This paper cites The density-matrix renormalization group,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup The density-matrix renormalization group,

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T01:06:59.280271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc4dc383-fab4-40ff-8653-307e9f7864ae · outbound

This paper cites The density-matrix renormalization group in the age of matrix product states,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup The density-matrix renormalization group in the age of matrix product states,

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.374113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 955ffa67-4eef-48b2-a474-3bebdf18d3d9 · outbound

This paper cites Infinite time-evolving block decimation algorithm beyond unitary evolution,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Infinite time-evolving block decimation algorithm beyond unitary evolution,

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.366302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 29bf4d2b-3843-4d3a-8f1f-13702bf24185 · outbound

This paper cites A practical introduction to tensor networks: Matrix product states and projected entangled pair states,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup A practical introduction to tensor networks: Matrix product states and projected entangled pair states,

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.358003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cde8f149-82f9-4171-9ce9-899947074169 · outbound

This paper cites 739 (Springer, 2007).

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup 739 (Springer, 2007)

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.348975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 50683f2a-e1ee-4f89-9285-95b08754b49f · outbound

This paper cites Quantum amplitude amplification and estimation,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Quantum amplitude amplification and estimation,

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.341714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5b66f121-6482-47f2-be71-8a01aadd3e31 · outbound

This paper cites Low depth algorithms for quantum amplitude estimation,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Low depth algorithms for quantum amplitude estimation,

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.331121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e1c731e1-ae45-4ca5-8d30-0b7e5084eea0 · outbound

This paper cites Iterative quantum amplitude estimation,.

Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup Iterative quantum amplitude estimation,

Reference 55

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T01:06:59.322583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 2de3f2f8-02ac-4613-8a07-ef27e6e89599 · inbound

Quantum complexity phase transition in fermionic quantum circuits cites this paper.

Quantum complexity phase transition in fermionic quantum circuits Quantum Algorithm for Vector Set Orthogonal Normalization and Matrix QR Decomposition with Polynomial Speedup

Reference 63

Resolution: verified exact; local_arxiv, observed 2026-08-06T12:12:34.415479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.